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21218253168 = 243763149563
BaseRepresentation
bin10011110000101101…
…001101100101110000
32000202201212221102110
4103300231031211300
5321423333100133
613425244445320
71350544114260
oct236055154560
960681787373
1021218253168
118aa9172722
124141b49840
132001bc03b8
1410540077a0
15842baec63
hex4f0b4d970

21218253168 has 40 divisors (see below), whose sum is σ = 62644367488. Its totient is φ = 6062357952.

The previous prime is 21218253167. The next prime is 21218253169. The reversal of 21218253168 is 86135281212.

It is an interprime number because it is at equal distance from previous prime (21218253167) and next prime (21218253169).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21218253167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31574446 + ... + 31575117.

Almost surely, 221218253168 is an apocalyptic number.

21218253168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

21218253168 is an abundant number, since it is smaller than the sum of its proper divisors (41426114320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21218253168 is a wasteful number, since it uses less digits than its factorization.

21218253168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63149581 (or 63149575 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The spelling of 21218253168 in words is "twenty-one billion, two hundred eighteen million, two hundred fifty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 63149563 126299126 189448689 252598252 378897378 442046941 505196504 757794756 884093882 1010393008 1326140823 1515589512 1768187764 2652281646 3031179024 3536375528 5304563292 7072751056 10609126584 21218253168